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LCM of 757, 999, 113, 904

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 757, 999, 113, 904 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 757, 999, 113, 904. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 757,999,113,904

Given numbers are 757,999,113,904

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 757,999,113,904 is 683643672.

Find LCM of 757,999,113,904 with Prime Factorization


113 757, 999, 113, 904
757, 999, 1, 8

Multiply the prime numbers at the bottom and the left side.

113 x 757 x 999 x 1 x 8 = 683643672

Therefore, the lowest common multiple of 757,999,113,904 is 683643672.

LCM Formula to Find Lowest Common Multiple of 757,999,113,904

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

757 x 999 x 113 x 904 = 77251734936

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

757 : 1, 757

999 : 1, 3, 9, 27, 37, 111, 333, 999

113 : 1, 113

904 : 1, 2, 4, 8, 113, 226, 452, 904

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 757,999,113,904, is 1.

Now, the common factors can be found like this.

757:757

999:3x 3x 3x 37

113:113

904:2x 2x 2x 113

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

113 = 113

Therefore, the value for common factors is 113.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 77251734936/(1x113)

LCM = 77251734936/113

LCM = 683643672

Thus, we can understand that the LCM of 757,999,113,904 is 683643672.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 757, 999, 113, 904

1. What is the LCM of 757, 999, 113, 904?

Answer: LCM of 757, 999, 113, 904 is 683643672.

2. How to calculate the LCM of 757, 999, 113, 904?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 757, 999, 113, 904.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.